Math

At the same store, Peter bought 2 pairs of pants and 5 shirts for $61, and jissica bought 3 pairs of pants and 2 shirts for $64. How much does 1 pair of pants cost?

~Please explain this problem to me

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  1. maybe you add up the pant snd shirts for peter then divide that by 7 then add 3 plus 2 and divide that by 64 and I don't know what else to do I can try to solve

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  2. You can solve this using a system of linear equations, I will use variables p for pants, and s for shirts. You are given:
    2p + 5s = 61 call this (row 1)
    3p + 2s = 64 call this (row 2)
    You can solve for a single variable by subtracting the rows from each other to eliminate a variable. By taking 3(row 1) - 2(row 2), gives
    6p + 15s = 183
    -6p + 4s = 128
    As you can see the pants variable goes to zero leaving 11s = 55. Solving for s gives $5 per shirt. Plugging back in and solving for p into either row 1 or 2 will give you the price of pants being $18.
    You can verify by plugging these numbers back into the equation.

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